Properties

Label 63.4.s.a.47.4
Level $63$
Weight $4$
Character 63.47
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 63 = 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 63.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 47.4
Character \(\chi\) \(=\) 63.47
Dual form 63.4.s.a.59.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.22249 + 1.86051i) q^{2} +(4.92551 - 1.65511i) q^{3} +(2.92296 - 5.06272i) q^{4} +2.66012 q^{5} +(-12.7931 + 14.4975i) q^{6} +(9.53109 - 15.8795i) q^{7} -8.01534i q^{8} +(21.5212 - 16.3045i) q^{9} +O(q^{10})\) \(q+(-3.22249 + 1.86051i) q^{2} +(4.92551 - 1.65511i) q^{3} +(2.92296 - 5.06272i) q^{4} +2.66012 q^{5} +(-12.7931 + 14.4975i) q^{6} +(9.53109 - 15.8795i) q^{7} -8.01534i q^{8} +(21.5212 - 16.3045i) q^{9} +(-8.57221 + 4.94917i) q^{10} +67.9830i q^{11} +(6.01772 - 29.7743i) q^{12} +(69.6961 - 40.2391i) q^{13} +(-1.16995 + 68.9042i) q^{14} +(13.1024 - 4.40279i) q^{15} +(38.2963 + 66.3311i) q^{16} +(29.6144 + 51.2937i) q^{17} +(-39.0174 + 92.5814i) q^{18} +(-5.86312 - 3.38507i) q^{19} +(7.77543 - 13.4674i) q^{20} +(20.6632 - 93.9895i) q^{21} +(-126.483 - 219.075i) q^{22} -126.401i q^{23} +(-13.2663 - 39.4796i) q^{24} -117.924 q^{25} +(-149.730 + 259.340i) q^{26} +(79.0173 - 115.928i) q^{27} +(-52.5344 - 94.6684i) q^{28} +(-114.327 - 66.0067i) q^{29} +(-34.0311 + 38.5651i) q^{30} +(62.8514 + 36.2873i) q^{31} +(-191.287 - 110.440i) q^{32} +(112.519 + 334.851i) q^{33} +(-190.864 - 110.196i) q^{34} +(25.3539 - 42.2414i) q^{35} +(-19.6393 - 156.613i) q^{36} +(-63.8671 + 110.621i) q^{37} +25.1918 q^{38} +(276.689 - 313.552i) q^{39} -21.3218i q^{40} +(4.93523 + 8.54808i) q^{41} +(108.281 + 341.324i) q^{42} +(-108.717 + 188.303i) q^{43} +(344.179 + 198.712i) q^{44} +(57.2491 - 43.3719i) q^{45} +(235.170 + 407.327i) q^{46} +(-92.9465 - 160.988i) q^{47} +(298.414 + 263.330i) q^{48} +(-161.317 - 302.698i) q^{49} +(380.008 - 219.398i) q^{50} +(230.763 + 203.632i) q^{51} -470.469i q^{52} +(-174.049 + 100.487i) q^{53} +(-38.9481 + 520.588i) q^{54} +180.843i q^{55} +(-127.280 - 76.3949i) q^{56} +(-34.4815 - 6.96911i) q^{57} +491.223 q^{58} +(-89.2347 + 154.559i) q^{59} +(16.0079 - 79.2032i) q^{60} +(-195.684 + 112.978i) q^{61} -270.051 q^{62} +(-53.7863 - 497.146i) q^{63} +209.153 q^{64} +(185.400 - 107.041i) q^{65} +(-985.584 - 869.711i) q^{66} +(-219.298 + 379.836i) q^{67} +346.247 q^{68} +(-209.208 - 622.590i) q^{69} +(-3.11222 + 183.293i) q^{70} -533.668i q^{71} +(-130.686 - 172.500i) q^{72} +(287.020 - 165.711i) q^{73} -475.300i q^{74} +(-580.834 + 195.177i) q^{75} +(-34.2753 + 19.7889i) q^{76} +(1079.54 + 647.952i) q^{77} +(-308.261 + 1525.20i) q^{78} +(503.621 + 872.297i) q^{79} +(101.873 + 176.449i) q^{80} +(197.327 - 701.786i) q^{81} +(-31.8075 - 18.3641i) q^{82} +(-590.719 + 1023.16i) q^{83} +(-415.445 - 379.340i) q^{84} +(78.7779 + 136.447i) q^{85} -809.072i q^{86} +(-672.366 - 135.893i) q^{87} +544.907 q^{88} +(66.3626 - 114.943i) q^{89} +(-103.791 + 246.278i) q^{90} +(25.3038 - 1490.26i) q^{91} +(-639.934 - 369.466i) q^{92} +(369.634 + 74.7073i) q^{93} +(599.038 + 345.855i) q^{94} +(-15.5966 - 9.00471i) q^{95} +(-1124.97 - 227.370i) q^{96} +(-761.712 - 439.775i) q^{97} +(1083.01 + 675.310i) q^{98} +(1108.43 + 1463.08i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 3q^{2} - 3q^{3} + 81q^{4} - 6q^{5} - 24q^{6} + 5q^{7} - 3q^{9} + O(q^{10}) \) \( 44q - 3q^{2} - 3q^{3} + 81q^{4} - 6q^{5} - 24q^{6} + 5q^{7} - 3q^{9} - 6q^{10} - 3q^{12} + 36q^{13} + 129q^{14} - 141q^{15} - 263q^{16} + 72q^{17} - 15q^{18} - 6q^{19} - 24q^{20} - 306q^{21} + 14q^{22} - 66q^{24} + 698q^{25} + 96q^{26} - 432q^{27} - 156q^{28} - 132q^{29} + 852q^{30} + 177q^{31} - 501q^{32} + 849q^{33} - 24q^{34} - 765q^{35} + 1122q^{36} + 82q^{37} - 1746q^{38} - 645q^{39} - 618q^{41} - 963q^{42} + 82q^{43} - 603q^{44} + 303q^{45} + 266q^{46} - 201q^{47} + 1569q^{48} + 515q^{49} - 1845q^{50} + 417q^{51} - 564q^{53} - 684q^{54} + 3600q^{56} + 1170q^{57} - 538q^{58} + 747q^{59} - 516q^{60} - 1209q^{61} + 2904q^{62} + 1557q^{63} - 1144q^{64} - 831q^{65} + 1029q^{66} + 295q^{67} + 7008q^{68} + 1005q^{69} - 390q^{70} - 1119q^{72} - 6q^{73} - 1788q^{75} + 144q^{76} - 1203q^{77} - 5985q^{78} - 551q^{79} + 4239q^{80} + 3741q^{81} + 18q^{82} - 1830q^{83} - 7725q^{84} - 237q^{85} - 2130q^{87} + 1246q^{88} - 4266q^{89} - 9993q^{90} - 1140q^{91} + 7896q^{92} - 1479q^{93} - 3q^{94} - 1053q^{95} + 5034q^{96} + 792q^{97} - 5667q^{98} + 4335q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).

\(n\) \(10\) \(29\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.22249 + 1.86051i −1.13932 + 0.657788i −0.946263 0.323399i \(-0.895174\pi\)
−0.193060 + 0.981187i \(0.561841\pi\)
\(3\) 4.92551 1.65511i 0.947914 0.318526i
\(4\) 2.92296 5.06272i 0.365370 0.632840i
\(5\) 2.66012 0.237928 0.118964 0.992899i \(-0.462043\pi\)
0.118964 + 0.992899i \(0.462043\pi\)
\(6\) −12.7931 + 14.4975i −0.870457 + 0.986430i
\(7\) 9.53109 15.8795i 0.514630 0.857412i
\(8\) 8.01534i 0.354231i
\(9\) 21.5212 16.3045i 0.797083 0.603870i
\(10\) −8.57221 + 4.94917i −0.271077 + 0.156507i
\(11\) 67.9830i 1.86342i 0.363200 + 0.931711i \(0.381684\pi\)
−0.363200 + 0.931711i \(0.618316\pi\)
\(12\) 6.01772 29.7743i 0.144764 0.716258i
\(13\) 69.6961 40.2391i 1.48694 0.858485i 0.487051 0.873374i \(-0.338073\pi\)
0.999889 + 0.0148882i \(0.00473924\pi\)
\(14\) −1.16995 + 68.9042i −0.0223345 + 1.31539i
\(15\) 13.1024 4.40279i 0.225536 0.0757863i
\(16\) 38.2963 + 66.3311i 0.598379 + 1.03642i
\(17\) 29.6144 + 51.2937i 0.422503 + 0.731797i 0.996184 0.0872825i \(-0.0278183\pi\)
−0.573681 + 0.819079i \(0.694485\pi\)
\(18\) −39.0174 + 92.5814i −0.510916 + 1.21231i
\(19\) −5.86312 3.38507i −0.0707943 0.0408731i 0.464185 0.885738i \(-0.346347\pi\)
−0.534979 + 0.844865i \(0.679681\pi\)
\(20\) 7.77543 13.4674i 0.0869320 0.150571i
\(21\) 20.6632 93.9895i 0.214718 0.976676i
\(22\) −126.483 219.075i −1.22574 2.12304i
\(23\) 126.401i 1.14593i −0.819579 0.572967i \(-0.805792\pi\)
0.819579 0.572967i \(-0.194208\pi\)
\(24\) −13.2663 39.4796i −0.112832 0.335781i
\(25\) −117.924 −0.943390
\(26\) −149.730 + 259.340i −1.12940 + 1.95618i
\(27\) 79.0173 115.928i 0.563218 0.826308i
\(28\) −52.5344 94.6684i −0.354574 0.638951i
\(29\) −114.327 66.0067i −0.732068 0.422660i 0.0871101 0.996199i \(-0.472237\pi\)
−0.819178 + 0.573539i \(0.805570\pi\)
\(30\) −34.0311 + 38.5651i −0.207107 + 0.234700i
\(31\) 62.8514 + 36.2873i 0.364143 + 0.210238i 0.670897 0.741551i \(-0.265909\pi\)
−0.306753 + 0.951789i \(0.599243\pi\)
\(32\) −191.287 110.440i −1.05672 0.610098i
\(33\) 112.519 + 334.851i 0.593548 + 1.76636i
\(34\) −190.864 110.196i −0.962734 0.555835i
\(35\) 25.3539 42.2414i 0.122445 0.204003i
\(36\) −19.6393 156.613i −0.0909227 0.725062i
\(37\) −63.8671 + 110.621i −0.283775 + 0.491513i −0.972311 0.233689i \(-0.924920\pi\)
0.688536 + 0.725202i \(0.258254\pi\)
\(38\) 25.1918 0.107543
\(39\) 276.689 313.552i 1.13604 1.28740i
\(40\) 21.3218i 0.0842817i
\(41\) 4.93523 + 8.54808i 0.0187989 + 0.0325606i 0.875272 0.483631i \(-0.160682\pi\)
−0.856473 + 0.516192i \(0.827349\pi\)
\(42\) 108.281 + 341.324i 0.397813 + 1.25399i
\(43\) −108.717 + 188.303i −0.385561 + 0.667812i −0.991847 0.127435i \(-0.959326\pi\)
0.606286 + 0.795247i \(0.292659\pi\)
\(44\) 344.179 + 198.712i 1.17925 + 0.680839i
\(45\) 57.2491 43.3719i 0.189649 0.143678i
\(46\) 235.170 + 407.327i 0.753781 + 1.30559i
\(47\) −92.9465 160.988i −0.288460 0.499628i 0.684982 0.728560i \(-0.259810\pi\)
−0.973442 + 0.228932i \(0.926477\pi\)
\(48\) 298.414 + 263.330i 0.897340 + 0.791841i
\(49\) −161.317 302.698i −0.470311 0.882501i
\(50\) 380.008 219.398i 1.07483 0.620551i
\(51\) 230.763 + 203.632i 0.633593 + 0.559102i
\(52\) 470.469i 1.25466i
\(53\) −174.049 + 100.487i −0.451084 + 0.260433i −0.708288 0.705924i \(-0.750532\pi\)
0.257204 + 0.966357i \(0.417199\pi\)
\(54\) −38.9481 + 520.588i −0.0981511 + 1.31191i
\(55\) 180.843i 0.443361i
\(56\) −127.280 76.3949i −0.303722 0.182298i
\(57\) −34.4815 6.96911i −0.0801261 0.0161944i
\(58\) 491.223 1.11208
\(59\) −89.2347 + 154.559i −0.196904 + 0.341049i −0.947523 0.319687i \(-0.896422\pi\)
0.750619 + 0.660736i \(0.229756\pi\)
\(60\) 16.0079 79.2032i 0.0344435 0.170418i
\(61\) −195.684 + 112.978i −0.410734 + 0.237138i −0.691105 0.722754i \(-0.742876\pi\)
0.280371 + 0.959892i \(0.409543\pi\)
\(62\) −270.051 −0.553169
\(63\) −53.7863 497.146i −0.107562 0.994198i
\(64\) 209.153 0.408502
\(65\) 185.400 107.041i 0.353785 0.204258i
\(66\) −985.584 869.711i −1.83814 1.62203i
\(67\) −219.298 + 379.836i −0.399874 + 0.692602i −0.993710 0.111984i \(-0.964279\pi\)
0.593836 + 0.804586i \(0.297613\pi\)
\(68\) 346.247 0.617480
\(69\) −209.208 622.590i −0.365009 1.08625i
\(70\) −3.11222 + 183.293i −0.00531402 + 0.312968i
\(71\) 533.668i 0.892039i −0.895023 0.446019i \(-0.852841\pi\)
0.895023 0.446019i \(-0.147159\pi\)
\(72\) −130.686 172.500i −0.213910 0.282352i
\(73\) 287.020 165.711i 0.460180 0.265685i −0.251940 0.967743i \(-0.581068\pi\)
0.712120 + 0.702058i \(0.247735\pi\)
\(74\) 475.300i 0.746656i
\(75\) −580.834 + 195.177i −0.894253 + 0.300494i
\(76\) −34.2753 + 19.7889i −0.0517323 + 0.0298676i
\(77\) 1079.54 + 647.952i 1.59772 + 0.958974i
\(78\) −308.261 + 1525.20i −0.447482 + 2.21404i
\(79\) 503.621 + 872.297i 0.717238 + 1.24229i 0.962090 + 0.272732i \(0.0879271\pi\)
−0.244852 + 0.969560i \(0.578740\pi\)
\(80\) 101.873 + 176.449i 0.142372 + 0.246595i
\(81\) 197.327 701.786i 0.270682 0.962669i
\(82\) −31.8075 18.3641i −0.0428360 0.0247314i
\(83\) −590.719 + 1023.16i −0.781203 + 1.35308i 0.150039 + 0.988680i \(0.452060\pi\)
−0.931242 + 0.364403i \(0.881273\pi\)
\(84\) −415.445 379.340i −0.539628 0.492730i
\(85\) 78.7779 + 136.447i 0.100525 + 0.174115i
\(86\) 809.072i 1.01447i
\(87\) −672.366 135.893i −0.828566 0.167463i
\(88\) 544.907 0.660083
\(89\) 66.3626 114.943i 0.0790385 0.136899i −0.823797 0.566885i \(-0.808148\pi\)
0.902835 + 0.429986i \(0.141482\pi\)
\(90\) −103.791 + 246.278i −0.121561 + 0.288444i
\(91\) 25.3038 1490.26i 0.0291490 1.71672i
\(92\) −639.934 369.466i −0.725192 0.418690i
\(93\) 369.634 + 74.7073i 0.412143 + 0.0832988i
\(94\) 599.038 + 345.855i 0.657299 + 0.379492i
\(95\) −15.5966 9.00471i −0.0168440 0.00972488i
\(96\) −1124.97 227.370i −1.19601 0.241728i
\(97\) −761.712 439.775i −0.797321 0.460333i 0.0452127 0.998977i \(-0.485603\pi\)
−0.842533 + 0.538644i \(0.818937\pi\)
\(98\) 1083.01 + 675.310i 1.11633 + 0.696088i
\(99\) 1108.43 + 1463.08i 1.12526 + 1.48530i
\(100\) −344.687 + 597.015i −0.344687 + 0.597015i
\(101\) −1564.08 −1.54091 −0.770454 0.637496i \(-0.779970\pi\)
−0.770454 + 0.637496i \(0.779970\pi\)
\(102\) −1122.49 226.868i −1.08964 0.220228i
\(103\) 783.420i 0.749443i 0.927137 + 0.374722i \(0.122262\pi\)
−0.927137 + 0.374722i \(0.877738\pi\)
\(104\) −322.530 558.638i −0.304102 0.526721i
\(105\) 54.9665 250.024i 0.0510875 0.232379i
\(106\) 373.914 647.637i 0.342620 0.593435i
\(107\) 120.873 + 69.7858i 0.109207 + 0.0630509i 0.553609 0.832777i \(-0.313250\pi\)
−0.444401 + 0.895828i \(0.646584\pi\)
\(108\) −355.946 738.895i −0.317138 0.658335i
\(109\) 600.318 + 1039.78i 0.527523 + 0.913697i 0.999485 + 0.0320783i \(0.0102126\pi\)
−0.471962 + 0.881619i \(0.656454\pi\)
\(110\) −336.459 582.765i −0.291638 0.505131i
\(111\) −131.488 + 650.572i −0.112435 + 0.556302i
\(112\) 1418.31 + 24.0821i 1.19659 + 0.0203173i
\(113\) 682.006 393.756i 0.567767 0.327801i −0.188490 0.982075i \(-0.560359\pi\)
0.756257 + 0.654275i \(0.227026\pi\)
\(114\) 124.082 41.6951i 0.101942 0.0342553i
\(115\) 336.243i 0.272650i
\(116\) −668.347 + 385.870i −0.534952 + 0.308855i
\(117\) 843.869 2002.35i 0.666801 1.58220i
\(118\) 664.086i 0.518086i
\(119\) 1096.78 + 18.6226i 0.844884 + 0.0143456i
\(120\) −35.2899 105.021i −0.0268459 0.0798919i
\(121\) −3290.69 −2.47234
\(122\) 420.394 728.143i 0.311973 0.540352i
\(123\) 38.4565 + 33.9353i 0.0281911 + 0.0248767i
\(124\) 367.424 212.133i 0.266094 0.153630i
\(125\) −646.207 −0.462388
\(126\) 1098.27 + 1501.98i 0.776520 + 1.06196i
\(127\) −778.835 −0.544176 −0.272088 0.962272i \(-0.587714\pi\)
−0.272088 + 0.962272i \(0.587714\pi\)
\(128\) 856.302 494.386i 0.591306 0.341390i
\(129\) −223.823 + 1107.42i −0.152764 + 0.755839i
\(130\) −398.300 + 689.876i −0.268717 + 0.465432i
\(131\) 597.605 0.398573 0.199286 0.979941i \(-0.436138\pi\)
0.199286 + 0.979941i \(0.436138\pi\)
\(132\) 2024.14 + 409.103i 1.33469 + 0.269756i
\(133\) −109.635 + 60.8399i −0.0714780 + 0.0396653i
\(134\) 1632.02i 1.05213i
\(135\) 210.196 308.382i 0.134006 0.196602i
\(136\) 411.136 237.370i 0.259225 0.149664i
\(137\) 1175.83i 0.733272i −0.930364 0.366636i \(-0.880509\pi\)
0.930364 0.366636i \(-0.119491\pi\)
\(138\) 1832.50 + 1617.06i 1.13038 + 0.997486i
\(139\) −1061.55 + 612.889i −0.647769 + 0.373990i −0.787601 0.616186i \(-0.788677\pi\)
0.139832 + 0.990175i \(0.455344\pi\)
\(140\) −139.748 251.829i −0.0843632 0.152025i
\(141\) −724.261 639.111i −0.432580 0.381723i
\(142\) 992.893 + 1719.74i 0.586772 + 1.01632i
\(143\) 2735.57 + 4738.15i 1.59972 + 2.77080i
\(144\) 1905.68 + 803.126i 1.10282 + 0.464772i
\(145\) −304.124 175.586i −0.174180 0.100563i
\(146\) −616.613 + 1068.01i −0.349529 + 0.605402i
\(147\) −1295.56 1223.94i −0.726914 0.686729i
\(148\) 373.362 + 646.682i 0.207366 + 0.359169i
\(149\) 421.973i 0.232009i 0.993249 + 0.116005i \(0.0370087\pi\)
−0.993249 + 0.116005i \(0.962991\pi\)
\(150\) 1508.61 1709.60i 0.821181 0.930588i
\(151\) 1365.52 0.735924 0.367962 0.929841i \(-0.380056\pi\)
0.367962 + 0.929841i \(0.380056\pi\)
\(152\) −27.1325 + 46.9949i −0.0144785 + 0.0250776i
\(153\) 1473.66 + 621.055i 0.778680 + 0.328166i
\(154\) −4684.31 79.5369i −2.45112 0.0416186i
\(155\) 167.192 + 96.5285i 0.0866400 + 0.0500217i
\(156\) −778.677 2317.30i −0.399641 1.18931i
\(157\) 1011.70 + 584.106i 0.514284 + 0.296922i 0.734593 0.678508i \(-0.237373\pi\)
−0.220309 + 0.975430i \(0.570707\pi\)
\(158\) −3245.83 1873.98i −1.63433 0.943581i
\(159\) −690.961 + 783.019i −0.344634 + 0.390550i
\(160\) −508.846 293.783i −0.251424 0.145160i
\(161\) −2007.19 1204.74i −0.982537 0.589732i
\(162\) 669.791 + 2628.63i 0.324838 + 1.27484i
\(163\) 917.697 1589.50i 0.440979 0.763798i −0.556783 0.830658i \(-0.687965\pi\)
0.997762 + 0.0668596i \(0.0212979\pi\)
\(164\) 57.7020 0.0274742
\(165\) 299.315 + 890.744i 0.141222 + 0.420268i
\(166\) 4396.14i 2.05546i
\(167\) 746.502 + 1292.98i 0.345905 + 0.599124i 0.985518 0.169573i \(-0.0542388\pi\)
−0.639613 + 0.768697i \(0.720905\pi\)
\(168\) −753.358 165.622i −0.345969 0.0760598i
\(169\) 2139.86 3706.35i 0.973994 1.68701i
\(170\) −507.722 293.134i −0.229062 0.132249i
\(171\) −181.373 + 22.7442i −0.0811110 + 0.0101713i
\(172\) 635.549 + 1100.80i 0.281745 + 0.487997i
\(173\) −390.046 675.579i −0.171414 0.296898i 0.767500 0.641048i \(-0.221500\pi\)
−0.938914 + 0.344151i \(0.888167\pi\)
\(174\) 2419.52 813.028i 1.05416 0.354227i
\(175\) −1123.94 + 1872.57i −0.485497 + 0.808874i
\(176\) −4509.39 + 2603.50i −1.93129 + 1.11503i
\(177\) −183.714 + 908.974i −0.0780158 + 0.386004i
\(178\) 493.872i 0.207962i
\(179\) −971.797 + 561.067i −0.405785 + 0.234280i −0.688977 0.724783i \(-0.741940\pi\)
0.283192 + 0.959063i \(0.408607\pi\)
\(180\) −52.2429 416.611i −0.0216331 0.172513i
\(181\) 4283.84i 1.75920i −0.475715 0.879600i \(-0.657810\pi\)
0.475715 0.879600i \(-0.342190\pi\)
\(182\) 2691.10 + 4849.43i 1.09603 + 1.97507i
\(183\) −776.853 + 880.354i −0.313807 + 0.355616i
\(184\) −1013.15 −0.405926
\(185\) −169.894 + 294.265i −0.0675182 + 0.116945i
\(186\) −1330.14 + 446.963i −0.524356 + 0.176198i
\(187\) −3487.10 + 2013.28i −1.36365 + 0.787302i
\(188\) −1086.72 −0.421579
\(189\) −1087.75 2359.67i −0.418638 0.908153i
\(190\) 67.0132 0.0255876
\(191\) 887.893 512.625i 0.336365 0.194200i −0.322299 0.946638i \(-0.604456\pi\)
0.658663 + 0.752438i \(0.271122\pi\)
\(192\) 1030.18 346.171i 0.387225 0.130118i
\(193\) 2153.05 3729.19i 0.803005 1.39085i −0.114625 0.993409i \(-0.536567\pi\)
0.917630 0.397436i \(-0.130100\pi\)
\(194\) 3272.81 1.21121
\(195\) 736.025 834.087i 0.270297 0.306309i
\(196\) −2004.00 68.0730i −0.730319 0.0248080i
\(197\) 1121.20i 0.405493i −0.979231 0.202747i \(-0.935013\pi\)
0.979231 0.202747i \(-0.0649868\pi\)
\(198\) −6293.96 2652.52i −2.25905 0.952052i
\(199\) −3579.81 + 2066.80i −1.27521 + 0.736241i −0.975963 0.217936i \(-0.930068\pi\)
−0.299243 + 0.954177i \(0.596734\pi\)
\(200\) 945.199i 0.334178i
\(201\) −451.486 + 2233.85i −0.158435 + 0.783898i
\(202\) 5040.23 2909.98i 1.75559 1.01359i
\(203\) −2137.81 + 1186.34i −0.739138 + 0.410171i
\(204\) 1705.44 573.077i 0.585318 0.196683i
\(205\) 13.1283 + 22.7389i 0.00447279 + 0.00774710i
\(206\) −1457.56 2524.56i −0.492975 0.853858i
\(207\) −2060.91 2720.31i −0.691995 0.913404i
\(208\) 5338.20 + 3082.01i 1.77951 + 1.02740i
\(209\) 230.127 398.592i 0.0761639 0.131920i
\(210\) 288.041 + 907.964i 0.0946511 + 0.298359i
\(211\) −157.594 272.960i −0.0514179 0.0890585i 0.839171 0.543868i \(-0.183041\pi\)
−0.890589 + 0.454809i \(0.849707\pi\)
\(212\) 1174.88i 0.380618i
\(213\) −883.278 2628.59i −0.284137 0.845576i
\(214\) −519.347 −0.165896
\(215\) −289.200 + 500.908i −0.0917360 + 0.158891i
\(216\) −929.201 633.351i −0.292704 0.199510i
\(217\) 1175.27 652.191i 0.367660 0.204026i
\(218\) −3869.04 2233.79i −1.20204 0.693997i
\(219\) 1139.45 1291.26i 0.351584 0.398426i
\(220\) 915.557 + 528.597i 0.280577 + 0.161991i
\(221\) 4128.02 + 2383.31i 1.25647 + 0.725425i
\(222\) −786.673 2341.10i −0.237829 0.707766i
\(223\) 2009.02 + 1159.91i 0.603290 + 0.348310i 0.770335 0.637640i \(-0.220089\pi\)
−0.167045 + 0.985949i \(0.553422\pi\)
\(224\) −3576.90 + 1984.93i −1.06693 + 0.592070i
\(225\) −2537.86 + 1922.69i −0.751960 + 0.569685i
\(226\) −1465.17 + 2537.75i −0.431247 + 0.746941i
\(227\) 5362.83 1.56803 0.784017 0.620739i \(-0.213167\pi\)
0.784017 + 0.620739i \(0.213167\pi\)
\(228\) −136.071 + 154.200i −0.0395241 + 0.0447900i
\(229\) 870.583i 0.251222i −0.992080 0.125611i \(-0.959911\pi\)
0.992080 0.125611i \(-0.0400891\pi\)
\(230\) 625.581 + 1083.54i 0.179346 + 0.310636i
\(231\) 6389.69 + 1404.74i 1.81996 + 0.400110i
\(232\) −529.066 + 916.370i −0.149719 + 0.259322i
\(233\) 718.819 + 415.010i 0.202109 + 0.116688i 0.597639 0.801765i \(-0.296106\pi\)
−0.395530 + 0.918453i \(0.629439\pi\)
\(234\) 1006.03 + 8022.59i 0.281053 + 2.24125i
\(235\) −247.249 428.248i −0.0686329 0.118876i
\(236\) 521.659 + 903.540i 0.143886 + 0.249218i
\(237\) 3924.33 + 3462.96i 1.07558 + 0.949128i
\(238\) −3568.99 + 1980.55i −0.972032 + 0.539410i
\(239\) 1663.03 960.148i 0.450093 0.259861i −0.257777 0.966205i \(-0.582990\pi\)
0.707869 + 0.706343i \(0.249657\pi\)
\(240\) 793.817 + 700.489i 0.213503 + 0.188402i
\(241\) 889.586i 0.237773i 0.992908 + 0.118886i \(0.0379324\pi\)
−0.992908 + 0.118886i \(0.962068\pi\)
\(242\) 10604.2 6122.34i 2.81680 1.62628i
\(243\) −189.595 3783.25i −0.0500515 0.998747i
\(244\) 1320.93i 0.346572i
\(245\) −429.122 805.213i −0.111900 0.209972i
\(246\) −187.063 37.8075i −0.0484824 0.00979885i
\(247\) −544.849 −0.140356
\(248\) 290.855 503.775i 0.0744730 0.128991i
\(249\) −1216.16 + 6017.26i −0.309522 + 1.53144i
\(250\) 2082.39 1202.27i 0.526809 0.304153i
\(251\) 285.392 0.0717681 0.0358840 0.999356i \(-0.488575\pi\)
0.0358840 + 0.999356i \(0.488575\pi\)
\(252\) −2674.12 1180.83i −0.668468 0.295181i
\(253\) 8593.13 2.13536
\(254\) 2509.79 1449.03i 0.619992 0.357953i
\(255\) 613.856 + 541.687i 0.150750 + 0.133026i
\(256\) −2676.23 + 4635.36i −0.653376 + 1.13168i
\(257\) −7043.55 −1.70959 −0.854795 0.518965i \(-0.826317\pi\)
−0.854795 + 0.518965i \(0.826317\pi\)
\(258\) −1339.10 3985.09i −0.323135 0.961631i
\(259\) 1147.88 + 2068.52i 0.275390 + 0.496260i
\(260\) 1251.50i 0.298519i
\(261\) −3536.66 + 443.497i −0.838751 + 0.105179i
\(262\) −1925.78 + 1111.85i −0.454103 + 0.262176i
\(263\) 368.004i 0.0862817i 0.999069 + 0.0431408i \(0.0137364\pi\)
−0.999069 + 0.0431408i \(0.986264\pi\)
\(264\) 2683.94 901.880i 0.625702 0.210253i
\(265\) −462.991 + 267.308i −0.107326 + 0.0619645i
\(266\) 240.105 400.033i 0.0553451 0.0922090i
\(267\) 136.626 675.992i 0.0313160 0.154944i
\(268\) 1282.00 + 2220.49i 0.292204 + 0.506112i
\(269\) −4136.20 7164.11i −0.937504 1.62380i −0.770108 0.637914i \(-0.779798\pi\)
−0.167396 0.985890i \(-0.553536\pi\)
\(270\) −103.607 + 1384.83i −0.0233529 + 0.312141i
\(271\) 4457.05 + 2573.28i 0.999064 + 0.576810i 0.907971 0.419033i \(-0.137631\pi\)
0.0910927 + 0.995842i \(0.470964\pi\)
\(272\) −2268.24 + 3928.71i −0.505634 + 0.875784i
\(273\) −2341.91 7382.17i −0.519190 1.63659i
\(274\) 2187.65 + 3789.11i 0.482338 + 0.835433i
\(275\) 8016.81i 1.75793i
\(276\) −3763.50 760.647i −0.820784 0.165890i
\(277\) −4701.79 −1.01987 −0.509934 0.860214i \(-0.670330\pi\)
−0.509934 + 0.860214i \(0.670330\pi\)
\(278\) 2280.57 3950.06i 0.492012 0.852190i
\(279\) 1944.28 243.813i 0.417209 0.0523179i
\(280\) −338.579 203.220i −0.0722642 0.0433740i
\(281\) 1320.09 + 762.157i 0.280250 + 0.161802i 0.633537 0.773713i \(-0.281603\pi\)
−0.353287 + 0.935515i \(0.614936\pi\)
\(282\) 3522.99 + 712.038i 0.743941 + 0.150359i
\(283\) −1456.81 841.092i −0.306002 0.176670i 0.339134 0.940738i \(-0.389866\pi\)
−0.645136 + 0.764068i \(0.723199\pi\)
\(284\) −2701.81 1559.89i −0.564518 0.325924i
\(285\) −91.7250 18.5387i −0.0190643 0.00385311i
\(286\) −17630.7 10179.1i −3.64520 2.10455i
\(287\) 182.777 + 3.10345i 0.0375923 + 0.000638296i
\(288\) −5917.39 + 742.040i −1.21071 + 0.151823i
\(289\) 702.473 1216.72i 0.142982 0.247653i
\(290\) 1306.71 0.264596
\(291\) −4479.69 905.397i −0.902420 0.182389i
\(292\) 1937.47i 0.388294i
\(293\) 2826.07 + 4894.90i 0.563484 + 0.975983i 0.997189 + 0.0749284i \(0.0238728\pi\)
−0.433705 + 0.901055i \(0.642794\pi\)
\(294\) 6452.10 + 1533.74i 1.27991 + 0.304250i
\(295\) −237.375 + 411.146i −0.0468492 + 0.0811452i
\(296\) 886.666 + 511.917i 0.174109 + 0.100522i
\(297\) 7881.12 + 5371.83i 1.53976 + 1.04951i
\(298\) −785.082 1359.80i −0.152613 0.264333i
\(299\) −5086.27 8809.67i −0.983767 1.70393i
\(300\) −709.632 + 3511.09i −0.136569 + 0.675710i
\(301\) 1953.96 + 3521.10i 0.374168 + 0.674261i
\(302\) −4400.38 + 2540.56i −0.838454 + 0.484082i
\(303\) −7703.88 + 2588.72i −1.46065 + 0.490819i
\(304\) 518.543i 0.0978305i
\(305\) −520.544 + 300.536i −0.0977254 + 0.0564218i
\(306\) −5904.32 + 740.401i −1.10303 + 0.138320i
\(307\) 6001.21i 1.11566i 0.829956 + 0.557829i \(0.188366\pi\)
−0.829956 + 0.557829i \(0.811634\pi\)
\(308\) 6435.84 3571.45i 1.19064 0.660721i
\(309\) 1296.64 + 3858.74i 0.238717 + 0.710408i
\(310\) −718.367 −0.131615
\(311\) 2242.56 3884.23i 0.408888 0.708214i −0.585878 0.810400i \(-0.699250\pi\)
0.994765 + 0.102185i \(0.0325834\pi\)
\(312\) −2513.23 2217.75i −0.456037 0.402422i
\(313\) −1135.17 + 655.393i −0.204996 + 0.118355i −0.598984 0.800761i \(-0.704429\pi\)
0.393988 + 0.919116i \(0.371095\pi\)
\(314\) −4346.93 −0.781247
\(315\) −143.078 1322.47i −0.0255922 0.236548i
\(316\) 5888.26 1.04823
\(317\) 1682.37 971.317i 0.298080 0.172097i −0.343500 0.939153i \(-0.611613\pi\)
0.641580 + 0.767056i \(0.278279\pi\)
\(318\) 769.804 3808.81i 0.135750 0.671658i
\(319\) 4487.33 7772.29i 0.787594 1.36415i
\(320\) 556.372 0.0971942
\(321\) 710.861 + 143.673i 0.123603 + 0.0249815i
\(322\) 8709.57 + 147.883i 1.50735 + 0.0255939i
\(323\) 400.988i 0.0690760i
\(324\) −2976.16 3050.30i −0.510316 0.523029i
\(325\) −8218.83 + 4745.14i −1.40276 + 0.809886i
\(326\) 6829.52i 1.16028i
\(327\) 4677.82 + 4127.86i 0.791083 + 0.698077i
\(328\) 68.5158 39.5576i 0.0115340 0.00665915i
\(329\) −3442.29 58.4481i −0.576838 0.00979437i
\(330\) −2621.77 2313.54i −0.437345 0.385927i
\(331\) 4752.76 + 8232.01i 0.789230 + 1.36699i 0.926439 + 0.376444i \(0.122853\pi\)
−0.137210 + 0.990542i \(0.543813\pi\)
\(332\) 3453.30 + 5981.29i 0.570856 + 0.988752i
\(333\) 429.121 + 3422.02i 0.0706177 + 0.563140i
\(334\) −4811.19 2777.74i −0.788194 0.455064i
\(335\) −583.360 + 1010.41i −0.0951414 + 0.164790i
\(336\) 7025.75 2228.84i 1.14073 0.361884i
\(337\) 2613.96 + 4527.51i 0.422527 + 0.731838i 0.996186 0.0872564i \(-0.0278099\pi\)
−0.573659 + 0.819094i \(0.694477\pi\)
\(338\) 15924.9i 2.56273i
\(339\) 2707.51 3068.24i 0.433782 0.491575i
\(340\) 921.060 0.146916
\(341\) −2466.92 + 4272.82i −0.391763 + 0.678553i
\(342\) 542.158 410.739i 0.0857210 0.0649422i
\(343\) −6344.21 323.412i −0.998703 0.0509114i
\(344\) 1509.31 + 871.401i 0.236560 + 0.136578i
\(345\) −556.518 1656.16i −0.0868461 0.258449i
\(346\) 2513.84 + 1451.36i 0.390592 + 0.225508i
\(347\) −1174.73 678.231i −0.181737 0.104926i 0.406371 0.913708i \(-0.366794\pi\)
−0.588109 + 0.808782i \(0.700127\pi\)
\(348\) −2653.29 + 3006.79i −0.408710 + 0.463164i
\(349\) 8379.49 + 4837.90i 1.28523 + 0.742025i 0.977799 0.209546i \(-0.0671986\pi\)
0.307427 + 0.951572i \(0.400532\pi\)
\(350\) 137.965 8125.44i 0.0210702 1.24092i
\(351\) 842.370 11259.3i 0.128098 1.71219i
\(352\) 7508.01 13004.3i 1.13687 1.96912i
\(353\) −9393.37 −1.41631 −0.708157 0.706055i \(-0.750473\pi\)
−0.708157 + 0.706055i \(0.750473\pi\)
\(354\) −1099.13 3270.96i −0.165024 0.491101i
\(355\) 1419.62i 0.212241i
\(356\) −387.951 671.951i −0.0577566 0.100037i
\(357\) 5433.00 1723.56i 0.805447 0.255519i
\(358\) 2087.74 3616.07i 0.308213 0.533841i
\(359\) 220.500 + 127.306i 0.0324166 + 0.0187157i 0.516121 0.856516i \(-0.327376\pi\)
−0.483704 + 0.875232i \(0.660709\pi\)
\(360\) −347.641 458.871i −0.0508952 0.0671795i
\(361\) −3406.58 5900.37i −0.496659 0.860238i
\(362\) 7970.10 + 13804.6i 1.15718 + 2.00430i
\(363\) −16208.3 + 5446.45i −2.34357 + 0.787505i
\(364\) −7470.81 4484.08i −1.07576 0.645686i
\(365\) 763.509 440.812i 0.109490 0.0632141i
\(366\) 865.496 4282.27i 0.123607 0.611579i
\(367\) 8762.10i 1.24626i −0.782118 0.623130i \(-0.785861\pi\)
0.782118 0.623130i \(-0.214139\pi\)
\(368\) 8384.33 4840.70i 1.18767 0.685703i
\(369\) 245.584 + 103.499i 0.0346466 + 0.0146014i
\(370\) 1264.36i 0.177651i
\(371\) −63.1899 + 3721.56i −0.00884274 + 0.520791i
\(372\) 1458.65 1652.99i 0.203299 0.230385i
\(373\) −3570.10 −0.495583 −0.247792 0.968813i \(-0.579705\pi\)
−0.247792 + 0.968813i \(0.579705\pi\)
\(374\) 7491.43 12975.5i 1.03576 1.79398i
\(375\) −3182.90 + 1069.54i −0.438304 + 0.147282i
\(376\) −1290.37 + 744.998i −0.176984 + 0.102182i
\(377\) −10624.2 −1.45139
\(378\) 7895.46 + 5580.25i 1.07434 + 0.759305i
\(379\) −6856.36 −0.929255 −0.464628 0.885506i \(-0.653812\pi\)
−0.464628 + 0.885506i \(0.653812\pi\)
\(380\) −91.1766 + 52.6408i −0.0123086 + 0.00710636i
\(381\) −3836.16 + 1289.06i −0.515833 + 0.173334i
\(382\) −1907.48 + 3303.86i −0.255485 + 0.442513i
\(383\) 2105.90 0.280957 0.140479 0.990084i \(-0.455136\pi\)
0.140479 + 0.990084i \(0.455136\pi\)
\(384\) 3399.46 3852.37i 0.451765 0.511955i
\(385\) 2871.70 + 1723.63i 0.380143 + 0.228167i
\(386\) 16023.0i 2.11283i
\(387\) 730.464 + 5825.08i 0.0959472 + 0.765130i
\(388\) −4452.91 + 2570.89i −0.582635 + 0.336384i
\(389\) 8008.58i 1.04383i 0.852996 + 0.521917i \(0.174783\pi\)
−0.852996 + 0.521917i \(0.825217\pi\)
\(390\) −820.010 + 4057.22i −0.106469 + 0.526783i
\(391\) 6483.58 3743.30i 0.838590 0.484160i
\(392\) −2426.23 + 1293.01i −0.312609 + 0.166599i
\(393\) 2943.51 989.101i 0.377813 0.126956i
\(394\) 2086.00 + 3613.06i 0.266729 + 0.461988i
\(395\) 1339.69 + 2320.42i 0.170651 + 0.295577i
\(396\) 10647.0 1335.14i 1.35110 0.169427i
\(397\) 4606.90 + 2659.79i 0.582402 + 0.336250i 0.762087 0.647474i \(-0.224175\pi\)
−0.179685 + 0.983724i \(0.557508\pi\)
\(398\) 7690.60 13320.5i 0.968581 1.67763i
\(399\) −439.312 + 481.126i −0.0551206 + 0.0603669i
\(400\) −4516.04 7822.01i −0.564505 0.977752i
\(401\) 4133.29i 0.514729i 0.966314 + 0.257365i \(0.0828542\pi\)
−0.966314 + 0.257365i \(0.917146\pi\)
\(402\) −2701.17 8038.54i −0.335130 0.997328i
\(403\) 5840.66 0.721946
\(404\) −4571.74 + 7918.49i −0.563002 + 0.975147i
\(405\) 524.914 1866.83i 0.0644029 0.229046i
\(406\) 4681.89 7800.38i 0.572311 0.953513i
\(407\) −7520.35 4341.88i −0.915897 0.528793i
\(408\) 1632.18 1849.64i 0.198052 0.224438i
\(409\) −1325.26 765.142i −0.160220 0.0925033i 0.417746 0.908564i \(-0.362820\pi\)
−0.577966 + 0.816061i \(0.696154\pi\)
\(410\) −84.6118 48.8506i −0.0101919 0.00588429i
\(411\) −1946.13 5791.58i −0.233566 0.695079i
\(412\) 3966.23 + 2289.91i 0.474278 + 0.273824i
\(413\) 1603.81 + 2890.12i 0.191086 + 0.344342i
\(414\) 11702.4 + 4931.84i 1.38923 + 0.585475i
\(415\) −1571.38 + 2721.72i −0.185870 + 0.321937i
\(416\) −17775.9 −2.09504
\(417\) −4214.30 + 4775.78i −0.494904 + 0.560841i
\(418\) 1712.61i 0.200399i
\(419\) 4054.18 + 7022.04i 0.472696 + 0.818733i 0.999512 0.0312463i \(-0.00994762\pi\)
−0.526816 + 0.849979i \(0.676614\pi\)
\(420\) −1105.13 1009.09i −0.128393 0.117235i
\(421\) 5593.01 9687.38i 0.647474 1.12146i −0.336250 0.941773i \(-0.609159\pi\)
0.983724 0.179686i \(-0.0575080\pi\)
\(422\) 1015.69 + 586.407i 0.117163 + 0.0676442i
\(423\) −4625.15 1949.22i −0.531637 0.224052i
\(424\) 805.438 + 1395.06i 0.0922536 + 0.159788i
\(425\) −3492.24 6048.74i −0.398585 0.690370i
\(426\) 7736.86 + 6827.25i 0.879934 + 0.776482i
\(427\) −71.0448 + 4184.17i −0.00805176 + 0.474207i
\(428\) 706.611 407.962i 0.0798022 0.0460738i
\(429\) 21316.2 + 18810.1i 2.39897 + 2.11693i
\(430\) 2152.23i 0.241371i
\(431\) −8537.03 + 4928.85i −0.954093 + 0.550846i −0.894350 0.447368i \(-0.852361\pi\)
−0.0597429 + 0.998214i \(0.519028\pi\)
\(432\) 10715.7 + 801.699i 1.19342 + 0.0892865i
\(433\) 7805.42i 0.866292i −0.901324 0.433146i \(-0.857403\pi\)
0.901324 0.433146i \(-0.142597\pi\)
\(434\) −2573.88 + 4288.27i −0.284677 + 0.474293i
\(435\) −1788.58 361.492i −0.197139 0.0398441i
\(436\) 7018.83 0.770965
\(437\) −427.877 + 741.105i −0.0468379 + 0.0811256i
\(438\) −1269.47 + 6281.03i −0.138488 + 0.685204i
\(439\) −13615.9 + 7861.14i −1.48030 + 0.854650i −0.999751 0.0223185i \(-0.992895\pi\)
−0.480547 + 0.876969i \(0.659562\pi\)
\(440\) 1449.52 0.157052
\(441\) −8407.07 3884.24i −0.907793 0.419419i
\(442\) −17736.7 −1.90870
\(443\) 12692.4 7327.98i 1.36126 0.785921i 0.371464 0.928447i \(-0.378856\pi\)
0.989791 + 0.142526i \(0.0455225\pi\)
\(444\) 2909.33 + 2567.28i 0.310970 + 0.274410i
\(445\) 176.533 305.764i 0.0188055 0.0325721i
\(446\) −8632.05 −0.916456
\(447\) 698.410 + 2078.43i 0.0739008 + 0.219925i
\(448\) 1993.45 3321.24i 0.210227 0.350254i
\(449\) 2222.19i 0.233567i −0.993157 0.116784i \(-0.962742\pi\)
0.993157 0.116784i \(-0.0372584\pi\)
\(450\) 4601.07 10917.6i 0.481993 1.14369i
\(451\) −581.124 + 335.512i −0.0606742 + 0.0350303i
\(452\) 4603.74i 0.479074i
\(453\) 6725.88 2260.08i 0.697593 0.234411i
\(454\) −17281.7 + 9977.58i −1.78650 + 1.03143i
\(455\) 67.3111 3964.28i 0.00693537 0.408457i
\(456\) −55.8598 + 276.381i −0.00573656 + 0.0283832i
\(457\) −5438.08 9419.03i −0.556636 0.964122i −0.997774 0.0666826i \(-0.978759\pi\)
0.441138 0.897439i \(-0.354575\pi\)
\(458\) 1619.73 + 2805.45i 0.165251 + 0.286222i
\(459\) 8286.42 + 619.952i 0.842651 + 0.0630433i
\(460\) −1702.30 982.824i −0.172544 0.0996183i
\(461\) 8061.39 13962.7i 0.814439 1.41065i −0.0952903 0.995450i \(-0.530378\pi\)
0.909730 0.415201i \(-0.136289\pi\)
\(462\) −23204.3 + 7361.28i −2.33671 + 0.741294i
\(463\) 1001.50 + 1734.65i 0.100526 + 0.174117i 0.911902 0.410409i \(-0.134614\pi\)
−0.811375 + 0.584525i \(0.801281\pi\)
\(464\) 10111.2i 1.01164i
\(465\) 983.272 + 198.731i 0.0980605 + 0.0198192i
\(466\) −3088.52 −0.307023
\(467\) −2157.57 + 3737.02i −0.213791 + 0.370297i −0.952898 0.303291i \(-0.901914\pi\)
0.739107 + 0.673588i \(0.235248\pi\)
\(468\) −7670.76 10125.1i −0.757652 1.00007i
\(469\) 3941.45 + 7102.60i 0.388058 + 0.699291i
\(470\) 1593.51 + 920.016i 0.156390 + 0.0902919i
\(471\) 5949.90 + 1202.54i 0.582075 + 0.117644i
\(472\) 1238.84 + 715.246i 0.120810 + 0.0697497i
\(473\) −12801.4 7390.89i −1.24442 0.718464i
\(474\) −19089.0 3858.10i −1.84976 0.373858i
\(475\) 691.401 + 399.181i 0.0667866 + 0.0385593i
\(476\) 3300.11 5498.23i 0.317774 0.529435i
\(477\) −2107.35 + 5000.38i −0.202283 + 0.479983i
\(478\) −3572.72 + 6188.14i −0.341867 + 0.592131i
\(479\) 12507.8 1.19310 0.596551 0.802575i \(-0.296537\pi\)
0.596551 + 0.802575i \(0.296537\pi\)
\(480\) −2992.57 604.832i −0.284565 0.0575139i
\(481\) 10279.8i 0.974468i
\(482\) −1655.08 2866.68i −0.156404 0.270900i
\(483\) −11880.4 2611.85i −1.11921 0.246052i
\(484\) −9618.56 + 16659.8i −0.903321 + 1.56460i
\(485\) −2026.25 1169.85i −0.189705 0.109526i
\(486\) 7649.72 + 11838.7i 0.713988 + 1.10497i
\(487\) −3487.77 6041.00i −0.324530 0.562102i 0.656887 0.753989i \(-0.271873\pi\)
−0.981417 + 0.191887i \(0.938539\pi\)
\(488\) 905.560 + 1568.48i 0.0840016 + 0.145495i
\(489\) 1889.33 9347.97i 0.174721 0.864478i
\(490\) 2880.94 + 1796.41i 0.265608 + 0.165619i
\(491\) 17281.9 9977.72i 1.58844 0.917084i 0.594871 0.803821i \(-0.297203\pi\)
0.993565 0.113263i \(-0.0361302\pi\)
\(492\) 284.212 95.5031i 0.0260432 0.00875124i
\(493\) 7819.00i 0.714300i
\(494\) 1755.77 1013.69i 0.159911 0.0923244i
\(495\) 2948.55 + 3891.97i 0.267733 + 0.353396i
\(496\) 5558.67i 0.503209i
\(497\) −8474.38 5086.44i −0.764845 0.459070i
\(498\) −7276.09 21653.2i −0.654718 1.94840i
\(499\) −10774.4 −0.966586 −0.483293 0.875459i \(-0.660559\pi\)
−0.483293 + 0.875459i \(0.660559\pi\)
\(500\) −1888.84 + 3271.56i −0.168943 + 0.292617i
\(501\) 5816.92 + 5133.04i 0.518724 + 0.457739i
\(502\) −919.673 + 530.973i −0.0817669 + 0.0472082i
\(503\) 2784.15 0.246798 0.123399 0.992357i \(-0.460621\pi\)
0.123399 + 0.992357i \(0.460621\pi\)
\(504\) −3984.79 + 431.115i −0.352176 + 0.0381020i
\(505\) −4160.64 −0.366626
\(506\) −27691.3 + 15987.6i −2.43286 + 1.40461i
\(507\) 4405.50 21797.4i 0.385908 1.90938i
\(508\) −2276.50 + 3943.02i −0.198826 + 0.344377i
\(509\) 16786.9 1.46182 0.730911 0.682473i \(-0.239095\pi\)
0.730911 + 0.682473i \(0.239095\pi\)
\(510\) −2985.96 603.496i −0.259256 0.0523986i
\(511\) 104.205 6137.14i 0.00902107 0.531294i
\(512\) 12006.4i 1.03635i
\(513\) −855.712 + 412.219i −0.0736464 + 0.0354775i
\(514\) 22697.8 13104.6i 1.94778 1.12455i
\(515\) 2083.99i 0.178314i
\(516\) 4952.35 + 4370.11i 0.422510 + 0.372836i
\(517\) 10944.5 6318.78i 0.931018 0.537524i
\(518\) −7547.53 4530.13i −0.640192 0.384252i
\(519\) −3039.33 2682.00i −0.257055 0.226834i
\(520\) −857.969 1486.05i −0.0723546 0.125322i
\(521\) 11145.0 + 19303.7i 0.937181 + 1.62324i 0.770699 + 0.637200i \(0.219907\pi\)
0.166482 + 0.986045i \(0.446759\pi\)
\(522\) 10571.7 8009.15i 0.886422 0.671553i
\(523\) 13575.4 + 7837.78i 1.13501 + 0.655301i 0.945191 0.326517i \(-0.105875\pi\)
0.189823 + 0.981818i \(0.439209\pi\)
\(524\) 1746.78 3025.51i 0.145627 0.252233i
\(525\) −2436.68 + 11083.6i −0.202563 + 0.921387i
\(526\) −684.673 1185.89i −0.0567551 0.0983027i
\(527\) 4298.50i 0.355305i
\(528\) −17902.0 + 20287.1i −1.47554 + 1.67212i
\(529\) −3810.26 −0.313164
\(530\) 994.655 1722.79i 0.0815190 0.141195i
\(531\) 599.565 + 4781.23i 0.0489998 + 0.390749i
\(532\) −12.4440 + 732.885i −0.00101412 + 0.0597267i
\(533\) 687.933 + 397.178i 0.0559056 + 0.0322771i
\(534\) 817.412 + 2432.57i 0.0662413 + 0.197130i
\(535\) 321.536 + 185.639i 0.0259835 + 0.0150016i
\(536\) 3044.51 + 1757.75i 0.245341 + 0.141648i
\(537\) −3857.97 + 4371.97i −0.310025 + 0.351330i
\(538\) 26657.7 + 15390.8i 2.13624 + 1.23336i
\(539\) 20578.3 10966.8i 1.64447 0.876388i
\(540\) −946.858 1965.55i −0.0754561 0.156637i
\(541\) 7285.01 12618.0i 0.578941 1.00275i −0.416660 0.909062i \(-0.636800\pi\)
0.995601 0.0936925i \(-0.0298671\pi\)
\(542\) −19150.4 −1.51767
\(543\) −7090.21 21100.1i −0.560350 1.66757i
\(544\) 13082.4i 1.03107i
\(545\) 1596.92 + 2765.94i 0.125513 + 0.217395i
\(546\) 21281.3 + 19431.8i 1.66805 + 1.52309i
\(547\) −2097.03 + 3632.16i −0.163917 + 0.283912i −0.936270 0.351281i \(-0.885746\pi\)
0.772353 + 0.635193i \(0.219079\pi\)
\(548\) −5952.92 3436.92i −0.464044 0.267916i
\(549\) −2369.31 + 5621.96i −0.184189 + 0.437048i
\(550\) 14915.3 + 25834.1i 1.15635 + 2.00285i
\(551\) 446.875 + 774.010i 0.0345508 + 0.0598438i
\(552\) −4990.27 + 1676.87i −0.384783 + 0.129298i
\(553\) 18651.7 + 316.695i 1.43427 + 0.0243531i
\(554\) 15151.5 8747.71i 1.16196 0.670857i
\(555\) −349.774 + 1730.60i −0.0267515 + 0.132360i
\(556\) 7165.80i 0.546579i
\(557\) −6775.49 + 3911.83i −0.515416 + 0.297575i −0.735057 0.678005i \(-0.762845\pi\)
0.219641 + 0.975581i \(0.429511\pi\)
\(558\) −5811.82 + 4403.04i −0.440921 + 0.334042i
\(559\) 17498.6i 1.32399i
\(560\) 3772.88 + 64.0613i 0.284702 + 0.00483408i
\(561\) −13843.5 + 15687.9i −1.04184 + 1.18065i
\(562\) −5671.99 −0.425727
\(563\) −2654.77 + 4598.20i −0.198731 + 0.344211i −0.948117 0.317921i \(-0.897015\pi\)
0.749387 + 0.662133i \(0.230349\pi\)
\(564\) −5352.63 + 1798.63i −0.399621 + 0.134284i
\(565\) 1814.22 1047.44i 0.135088 0.0779931i
\(566\) 6259.42 0.464847
\(567\) −9263.26 9822.24i −0.686103 0.727505i
\(568\) −4277.53 −0.315988
\(569\) −8280.79 + 4780.91i −0.610103 + 0.352243i −0.773006 0.634399i \(-0.781248\pi\)
0.162903 + 0.986642i \(0.447914\pi\)
\(570\) 330.074 110.914i 0.0242549 0.00815032i
\(571\) 2330.46 4036.48i 0.170800 0.295834i −0.767900 0.640570i \(-0.778698\pi\)
0.938700 + 0.344736i \(0.112032\pi\)
\(572\) 31983.9 2.33796
\(573\) 3524.87 3994.50i 0.256987 0.291226i
\(574\) −594.772 + 330.057i −0.0432497 + 0.0240006i
\(575\) 14905.7i 1.08106i
\(576\) 4501.23 3410.13i 0.325610 0.246682i
\(577\) 11960.4 6905.37i 0.862946 0.498222i −0.00205155 0.999998i \(-0.500653\pi\)
0.864998 + 0.501776i \(0.167320\pi\)
\(578\) 5227.82i 0.376209i
\(579\) 4432.65 21931.7i 0.318160 1.57418i
\(580\) −1777.88 + 1026.46i −0.127280 + 0.0734853i
\(581\) 10617.0 + 19132.1i 0.758119 + 1.36615i
\(582\) 16120.3 5416.86i 1.14812 0.385801i
\(583\) −6831.41 11832.4i −0.485297 0.840559i
\(584\) −1328.23 2300.57i −0.0941141 0.163010i
\(585\) 2244.79 5326.50i 0.158651 0.376451i
\(586\) −18214.0 10515.8i −1.28398 0.741307i
\(587\) −2615.61 + 4530.36i −0.183914 + 0.318549i −0.943210 0.332197i \(-0.892210\pi\)
0.759296 + 0.650745i \(0.225544\pi\)
\(588\) −9983.36 + 2981.54i −0.700182 + 0.209110i
\(589\) −245.670 425.513i −0.0171862 0.0297673i
\(590\) 1766.55i 0.123267i
\(591\) −1855.71 5522.48i −0.129160 0.384373i
\(592\) −9783.49 −0.679221
\(593\) 8934.43 15474.9i 0.618707 1.07163i −0.371015 0.928627i \(-0.620990\pi\)
0.989722 0.143005i \(-0.0456765\pi\)
\(594\) −35391.2 2647.81i −2.44464 0.182897i
\(595\) 2917.55 + 49.5384i 0.201022 + 0.00341324i
\(596\) 2136.33 + 1233.41i 0.146825 + 0.0847692i
\(597\) −14211.6 + 16105.0i −0.974275 + 1.10408i
\(598\) 32780.9 + 18926.1i 2.24166 + 1.29422i
\(599\) −12141.0 7009.63i −0.828163 0.478140i 0.0250606 0.999686i \(-0.492022\pi\)
−0.853223 + 0.521546i \(0.825355\pi\)
\(600\) 1564.41 + 4655.59i 0.106444 + 0.316772i
\(601\) −16180.5 9341.82i −1.09820 0.634045i −0.162450 0.986717i \(-0.551940\pi\)
−0.935747 + 0.352672i \(0.885273\pi\)
\(602\) −12847.7 7711.34i −0.869819 0.522077i
\(603\) 1473.46 + 11750.1i 0.0995090 + 0.793533i
\(604\) 3991.36 6913.25i 0.268885 0.465722i
\(605\) −8753.63 −0.588241
\(606\) 20009.4 22675.2i 1.34129 1.52000i
\(607\) 20189.3i 1.35002i −0.737811 0.675008i \(-0.764140\pi\)
0.737811 0.675008i \(-0.235860\pi\)
\(608\) 747.692 + 1295.04i 0.0498732 + 0.0863829i
\(609\) −8566.29 + 9381.63i −0.569990 + 0.624241i
\(610\) 1118.30 1936.95i 0.0742271 0.128565i
\(611\) −12956.0 7480.16i −0.857847 0.495278i
\(612\) 7451.67 5645.38i 0.492183 0.372878i
\(613\) 9593.06 + 16615.7i 0.632072 + 1.09478i 0.987128 + 0.159935i \(0.0511285\pi\)
−0.355056 + 0.934845i \(0.615538\pi\)
\(614\) −11165.3 19338.8i −0.733867 1.27110i
\(615\) 102.299 + 90.2719i 0.00670747 + 0.00591889i
\(616\) 5193.56 8652.85i 0.339699 0.565963i
\(617\) 2177.62 1257.25i 0.142087 0.0820340i −0.427271 0.904123i \(-0.640525\pi\)
0.569358 + 0.822090i \(0.307192\pi\)
\(618\) −11357.6 10022.3i −0.739273 0.652359i
\(619\) 15944.3i 1.03531i 0.855591 + 0.517653i \(0.173194\pi\)
−0.855591 + 0.517653i \(0.826806\pi\)
\(620\) 977.393 564.298i 0.0633114 0.0365528i
\(621\) −14653.4 9987.88i −0.946894 0.645410i
\(622\) 16689.2i 1.07585i
\(623\) −1192.74 2149.34i −0.0767030 0.138221i
\(624\) 31394.4 + 6345.17i 2.01407 + 0.407068i
\(625\) 13021.5 0.833375
\(626\) 2438.72 4223.99i 0.155704 0.269688i
\(627\) 473.781 2344.16i 0.0301770 0.149309i
\(628\) 5914.33 3414.64i 0.375808 0.216973i
\(629\) −7565.55 −0.479584
\(630\) 2921.53 + 3995.44i 0.184756 + 0.252670i
\(631\) −17578.2 −1.10900 −0.554500 0.832184i \(-0.687090\pi\)
−0.554500 + 0.832184i \(0.687090\pi\)
\(632\) 6991.76 4036.69i 0.440059 0.254068i
\(633\) −1228.01 1083.63i −0.0771072 0.0680419i
\(634\) −3614.28 + 6260.12i −0.226406 + 0.392147i
\(635\) −2071.79 −0.129475
\(636\) 1944.55 + 5786.88i 0.121237 + 0.360793i
\(637\) −23423.4 14605.6i −1.45694 0.908471i
\(638\) 33394.8i 2.07228i
\(639\) −8701.19 11485.2i −0.538676 0.711029i
\(640\) 2277.87 1315.13i 0.140688 0.0812265i
\(641\) 25891.9i 1.59542i 0.603038 + 0.797712i \(0.293957\pi\)
−0.603038 + 0.797712i \(0.706043\pi\)
\(642\) −2558.05 + 859.576i −0.157256 + 0.0528423i
\(643\) −17292.0 + 9983.55i −1.06054 + 0.612306i −0.925583 0.378545i \(-0.876425\pi\)
−0.134962 + 0.990851i \(0.543091\pi\)
\(644\) −11966.2 + 6640.41i −0.732196 + 0.406318i
\(645\) −595.397 + 2945.88i −0.0363469 + 0.179836i
\(646\) 746.040 + 1292.18i 0.0454374 + 0.0786999i
\(647\) 9164.51 + 15873.4i 0.556869 + 0.964525i 0.997756 + 0.0669620i \(0.0213306\pi\)
−0.440887 + 0.897563i \(0.645336\pi\)
\(648\) −5625.05 1581.64i −0.341008 0.0958840i
\(649\) −10507.4 6066.44i −0.635517 0.366916i
\(650\) 17656.7 30582.3i 1.06547 1.84544i
\(651\) 4709.33 5157.56i 0.283523 0.310508i
\(652\) −5364.79 9292.09i −0.322241 0.558138i
\(653\) 7976.00i 0.477986i −0.971021 0.238993i \(-0.923183\pi\)
0.971021 0.238993i \(-0.0768173\pi\)
\(654\) −22754.1 4598.87i −1.36049 0.274970i
\(655\) 1589.70 0.0948318
\(656\) −378.002 + 654.719i −0.0224977 + 0.0389672i
\(657\) 3475.19 8246.03i 0.206363 0.489662i
\(658\) 11201.5 6216.05i 0.663647 0.368278i
\(659\) 14842.8 + 8569.48i 0.877378 + 0.506554i 0.869793 0.493417i \(-0.164252\pi\)
0.00758502 + 0.999971i \(0.497586\pi\)
\(660\) 5384.47 + 1088.26i 0.317561 + 0.0641827i
\(661\) −26293.7 15180.7i −1.54721 0.893284i −0.998353 0.0573693i \(-0.981729\pi\)
−0.548860 0.835914i \(-0.684938\pi\)
\(662\) −30631.4 17685.1i −1.79837 1.03829i
\(663\) 24277.2 + 4906.71i 1.42210 + 0.287422i
\(664\) 8200.94 + 4734.81i 0.479304 + 0.276727i
\(665\) −291.643 + 161.842i −0.0170067 + 0.00943752i
\(666\) −7749.53 10229.1i −0.450883 0.595147i
\(667\) −8343.32 + 14451.1i −0.484340 + 0.838902i
\(668\) 8727.99 0.505533
\(669\) 11815.2 + 2387.99i 0.682813 + 0.138004i
\(670\) 4341.38i 0.250332i
\(671\) −7680.61 13303.2i −0.441887 0.765372i
\(672\) −14332.8 + 15696.9i −0.822765 + 0.901075i
\(673\) −14629.3 + 25338.6i −0.837914 + 1.45131i 0.0537214 + 0.998556i \(0.482892\pi\)
−0.891636 + 0.452754i \(0.850442\pi\)
\(674\) −16846.9 9726.57i −0.962788 0.555866i
\(675\) −9318.02 + 13670.6i −0.531334 + 0.779531i
\(676\) −12509.5 21667.1i −0.711737 1.23276i
\(677\) −3213.01 5565.10i −0.182402 0.315930i 0.760296 0.649577i \(-0.225054\pi\)
−0.942698 + 0.333647i \(0.891721\pi\)
\(678\) −3016.46 + 14924.7i −0.170865 + 0.845399i
\(679\) −14243.3 + 7904.07i −0.805021 + 0.446731i
\(680\) 1093.67 631.432i 0.0616771 0.0356093i
\(681\) 26414.7 8876.07i 1.48636 0.499459i
\(682\) 18358.8i 1.03079i
\(683\) 25125.5 14506.2i 1.40761 0.812686i 0.412455 0.910978i \(-0.364671\pi\)
0.995158 + 0.0982922i \(0.0313380\pi\)
\(684\) −415.000 + 984.723i −0.0231987 + 0.0550465i
\(685\) 3127.86i 0.174466i
\(686\) 21045.9 10761.2i 1.17133 0.598931i
\(687\) −1440.91 4288.06i −0.0800206 0.238137i
\(688\) −16653.8 −0.922848
\(689\) −8087.01 + 14007.1i −0.447156 + 0.774497i
\(690\) 4874.68 + 4301.57i 0.268950 + 0.237330i
\(691\) 8036.44 4639.84i 0.442432 0.255438i −0.262197 0.965014i \(-0.584447\pi\)
0.704629 + 0.709576i \(0.251114\pi\)
\(692\) −4560.35 −0.250518
\(693\) 33797.5 3656.55i 1.85261 0.200434i
\(694\) 5047.41 0.276076
\(695\) −2823.86 + 1630.36i −0.154123 + 0.0889828i
\(696\) −1089.23 + 5389.25i −0.0593206 + 0.293504i
\(697\) −292.308 + 506.293i −0.0158852 + 0.0275139i
\(698\) −36003.8 −1.95238
\(699\) 4227.43 + 854.413i 0.228750 + 0.0462330i
\(700\) 6195.05 + 11163.7i 0.334501 + 0.602780i
\(701\) 12950.9i 0.697784i −0.937163 0.348892i \(-0.886558\pi\)
0.937163 0.348892i \(-0.113442\pi\)
\(702\) 18233.5 + 37850.2i 0.980310 + 2.03499i
\(703\) 748.921 432.390i 0.0401794 0.0231976i
\(704\) 14218.8i 0.761211i
\(705\) −1926.62 1700.11i −0.102923 0.0908227i
\(706\) 30270.1 17476.4i 1.61364 0.931634i
\(707\) −14907.4 + 24836.8i −0.792998 + 1.32119i
\(708\) 4064.89 + 3586.99i 0.215774 + 0.190406i
\(709\) −3935.71 6816.84i −0.208475 0.361089i 0.742760 0.669558i \(-0.233517\pi\)
−0.951234 + 0.308470i \(0.900183\pi\)
\(710\) 2641.21 + 4574.72i 0.139610 + 0.241811i
\(711\) 25060.9 + 10561.6i 1.32188 + 0.557091i
\(712\) −921.311 531.919i −0.0484938 0.0279979i
\(713\) 4586.75 7944.49i 0.240919 0.417284i
\(714\) −14301.1 + 15662.3i −0.749587 + 0.820932i
\(715\) 7276.95 + 12604.1i 0.380619 + 0.659252i
\(716\) 6559.91i 0.342396i
\(717\) 6602.09 7481.70i 0.343877 0.389692i
\(718\) −947.413 −0.0492439
\(719\) −7688.81 + 13317.4i −0.398810 + 0.690759i −0.993579 0.113137i \(-0.963910\pi\)
0.594769 + 0.803896i \(0.297243\pi\)
\(720\) 5069.34 + 2136.41i 0.262393 + 0.110582i
\(721\) 12440.3 + 7466.85i 0.642582 + 0.385686i
\(722\) 21955.4 + 12675.9i 1.13171 + 0.653392i
\(723\) 1472.36 + 4381.66i 0.0757368 + 0.225388i
\(724\) −21687.9 12521.5i −1.11329 0.642759i
\(725\) 13481.9 + 7783.76i 0.690626 + 0.398733i
\(726\) 42098.0 47706.8i 2.15207 2.43879i
\(727\) −3867.48 2232.89i −0.197300 0.113911i 0.398096 0.917344i \(-0.369671\pi\)
−0.595395 + 0.803433i \(0.703005\pi\)
\(728\) −11945.0 202.818i −0.608117 0.0103255i
\(729\) −7195.53 18320.6i −0.365571 0.930783i
\(730\) −1640.27 + 2841.02i −0.0831630 + 0.144042i
\(731\) −12878.3 −0.651603
\(732\) 2186.27 + 6506.23i 0.110392 + 0.328521i
\(733\) 17610.1i 0.887374i 0.896182 + 0.443687i \(0.146330\pi\)
−0.896182 + 0.443687i \(0.853670\pi\)
\(734\) 16301.9 + 28235.8i 0.819776 + 1.41989i
\(735\) −3446.36 3255.84i −0.172953 0.163392i
\(736\) −13959.7 + 24178.9i −0.699132 + 1.21093i
\(737\) −25822.4 14908.6i −1.29061 0.745134i
\(738\) −983.953 + 123.388i −0.0490783 + 0.00615442i
\(739\) −17415.2 30164.1i −0.866887 1.50149i −0.865161 0.501494i \(-0.832784\pi\)
−0.00172595 0.999999i \(-0.500549\pi\)
\(740\) 993.189 + 1720.25i 0.0493383 + 0.0854565i
\(741\) −2683.66 + 901.783i −0.133045 + 0.0447069i
\(742\) −6720.35 12110.2i −0.332496 0.599166i
\(743\) 7577.11 4374.65i 0.374128 0.216003i −0.301132 0.953582i \(-0.597365\pi\)
0.675260 + 0.737579i \(0.264031\pi\)
\(744\) 598.805 2962.74i 0.0295071 0.145994i
\(745\) 1122.50i 0.0552015i
\(746\) 11504.6 6642.18i 0.564629 0.325989i
\(747\) 3969.02 + 31650.9i 0.194403 + 1.55026i
\(748\) 23538.9i 1.15063i
\(749\) 2260.21 1254.26i 0.110262 0.0611878i
\(750\) 8266.96 9368.38i 0.402489 0.456113i
\(751\) 13309.5 0.646700 0.323350 0.946280i \(-0.395191\pi\)
0.323350 + 0.946280i \(0.395191\pi\)
\(752\) 7119.01 12330.5i 0.345218 0.597934i
\(753\) 1405.70 472.355i 0.0680300 0.0228600i
\(754\) 34236.3 19766.4i 1.65360 0.954706i
\(755\) 3632.45 0.175097
\(756\) −15125.8 1390.24i −0.727673 0.0668816i
\(757\) −828.798 −0.0397929 −0.0198964 0.999802i \(-0.506334\pi\)
−0.0198964 + 0.999802i \(0.506334\pi\)
\(758\) 22094.6 12756.3i 1.05872 0.611253i
\(759\) 42325.5 14222.6i 2.02414 0.680166i
\(760\) −72.1758 + 125.012i −0.00344486 + 0.00596667i
\(761\) 1010.35 0.0481277 0.0240638 0.999710i \(-0.492340\pi\)
0.0240638 + 0.999710i \(0.492340\pi\)
\(762\) 9963.68 11291.2i 0.473682 0.536792i
\(763\) 22232.9 + 377.502i 1.05489 + 0.0179115i
\(764\) 5993.53i 0.283820i
\(765\) 3920.10 + 1652.08i 0.185270 + 0.0780799i
\(766\) −6786.26 + 3918.05i −0.320101 + 0.184810i
\(767\) 14362.9i 0.676158i
\(768\) −5509.75 + 27261.0i −0.258875 + 1.28085i
\(769\) −23020.8 + 13291.1i −1.07952 + 0.623263i −0.930768 0.365611i \(-0.880860\pi\)
−0.148755 + 0.988874i \(0.547527\pi\)
\(770\) −12460.8 211.578i −0.583191 0.00990226i
\(771\) −34693.1 + 11657.8i −1.62055 + 0.544549i
\(772\) −12586.6 21800.6i −0.586788 1.01635i
\(773\) −3029.80 5247.77i −0.140976 0.244177i